CN105844029B - The research method of hv cable termination connector - Google Patents
The research method of hv cable termination connector Download PDFInfo
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- CN105844029B CN105844029B CN201610184041.XA CN201610184041A CN105844029B CN 105844029 B CN105844029 B CN 105844029B CN 201610184041 A CN201610184041 A CN 201610184041A CN 105844029 B CN105844029 B CN 105844029B
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Abstract
The present invention relates to the research methods of hv cable termination connector: the following steps are included: S1) design semiconductive stress cone component overall structure geomery;S2 stress cone conical surface pattern curve) is replaced using arc-spline curve approximatioss: plane curve is turned into one group of point range according to certain step pitch is discrete, then this group of point range is fitted using arc-spline curve, successively calculate every two sections of circular arc public affairs point of contacts to virgin curve bee lineIfGreater than given error amount, execute step S3), ifLess than or equal to given error amount, execute step S4);S3 it) is fitted again with arc-spline curve, return step S2 on virgin curve corresponding to the new data point of people one is inserted at the shortest distance);S4 stress cone finite element two dimension computation model) is established;S5 FEM calculation) is carried out, the electric field strength Local Vector figure and electric field strength part cloud atlas of tag conical line are obtained, the uniformity and reasonability of terminal fitting field distribution are verified by relationship graph.
Description
Technical field
The present invention relates to hv cable termination joint technique fields, more particularly, to a kind of having for hv cable termination connector
It limits first calculation method and infinitely approaches stress cone conical surface logarithmic curve method with arc-spline curve.
Background technique
Hv cable termination connector is interface interconnected between cable and other external electrical equipments, and electric power electricity
The weak spot on cable road, in the statistics that power cable breaks down, the failure rate of cable accessory is about 70%.The height of China
Pressure and ultrahigh voltage cable fittings production technology lag behind always its cable body.The cable accessory of 110kV grade, domestic and imported
And deposit, domestic cable accessory is gradually monopolized the market, but the manufacturer for being able to produce 220kV cable accessory is few, and
Attachment key technology is grasped not enough.In recent years, ultrahigh voltage cable fittings are using safe environment protection type as Main Trends of The Development, because
This, eliminating oil-filled and sulfur hexafluoride gas cable accessory products becomes trend of the times.The some enterprises in Europe are trying hard to realize
The non-oil ultra high vacuum system of 500kV cable accessory.Chinese Enterprise is also making great efforts to develop safe environment protection type product, can produce 110KV at present
The plug-in and GIS dry outdoor terminal of grade.With the increase of electric load, the raising of voltage class and people's safety and environmental protection meaning
The increase of knowledge, the relevant technologies of power cable are also being constantly updated, including super-pressure and extra-high-tension cable, hyperconductive cable, extra-high
Press that direct current cables, cable insulation new material, being thinned of cable insulation thickness, oversheath is non-halogen, terminal non-oil ultra high vacuum system, cable insulation
Life appraisal, high-tension cable on-line monitoring and detection technique etc..These new technologies are constantly progressive, and are transported to the safety of power cable
Go, ensure power supply reliability, reduce environmental pollution, reducing manufacture and operating cost etc. is all of great importance.FInite Element
(FEA, Finite Element Analysis) exists at present as a kind of numerical method for needing to carry out whole region subdivision
It is more advanced one of method in electromagnetic field analysis, is highly effective when solving bounded problem.Currently, numerically-controlled machine tool one
As straight line and circular interpolation processing method are only provided, straight line and circular arc piecewise fitting are then used for non-rectilinear and circular curve
Method carries out interpolation.This method will lead to that data volume is big, low precision, feed speed are uneven, programming when handling complex curve
A series of problems, such as complicated, necessarily causes large effect to processing quality and processing cost.Many scholars at home and abroad start to seek
A kind of method that can complicated free type curve and surface infinitely approached and be fitted is sought, in recent years, although achieving one
A little research achievements, but it is not close ideal.
Summary of the invention
The technical problem to be solved by the present invention is providing the finite element method and fortune of a kind of hv cable termination connector
Stress cone conical surface logarithmic curve method is infinitely approached with arc-spline curve.By to tag stress cone conical surface logarithm
Curve infinitely approach using arc-spline curve, establishes electric field limited element calculation model, electricity has been obtained by calculation
The field distribution of the cable terminal fitting stress cone conical surface, simulation result and theory analysis are compared, verifying terminal fitting electricity
The uniformity and reasonability of field distribution, with overcome the deficiencies in the prior art.
The technical scheme is that the research method of hv cable termination connector: bent by using multi-section circular arc batten
Line approaches and substitutes conical surface logarithmic curve, establishes electric field limited element calculation model and is calculated, comprising the following steps:
S1) according to hv cable termination connector two-dimensional axial symmetric overall structure, the entirety of semiconductive stress cone component is designed
Planform size, thickness deltat t of the increasing including stress cone around insulating layer, stress cone axial length Lk, stress cone conical surface shape
Curvilinear equation;
S2 stress cone conical surface pattern curve) is replaced using arc-spline curve approximatioss: by plane curve according to certain
Step pitch is discrete to turn to one group of point range, is then fitted this group of point range using arc-spline curve, successively calculates every two sections of circular arc public affairs and cut
Point arrives the bee line d of virgin curve, if d is greater than given error amount δ, executes step S3), if d is less than or equal to given mistake
Value of delta executes step S4);
S3 it) then on virgin curve corresponding to the new data point of people one is inserted at the shortest distance, is fitted again with arc-spline curve,
Return step S2);
S4) according to electric field distribution law and relevant criterion, model parameter table is acquired, establishes the calculating of stress cone finite element two dimension
Model executes step S5);
S5) according to tag model, in conjunction with the working characteristics equation of cable connector, the boundary condition and tool of satisfaction
Body structural parameters carry out FEM calculation to tag, obtain the electric field strength office of tag conical line
Portion's polar plot and electric field strength part cloud atlas, close at shielded layer on cable insulation and take a node and be defined as starting point, with
Conical line is as mapping path, and the path length of different nodal point separation start nodes is S along the path, show that the path powers on
The relationship graph of field intensity and S verifies the uniformity and reasonability of terminal fitting field distribution by relationship graph.
The research method of the hv cable termination connector of above-mentioned hv cable termination connector, δ are arbitrarily small positive real number
Value and δ≤0.001mm.
Beneficial effects of the present invention are as follows: the present invention uses circular arc sample to tag stress cone conical surface logarithmic curve
Curve infinitely approach, and establishes electric field limited element calculation model, tag stress has been obtained by calculation
The field distribution of the conical surface is bored, and simulation result and theory analysis are compared, meets electric field distribution law, is i.e. electric field is maximum
Everywhere near metal screen layer cut-off port, and with the increase of stress cone arcuate distance, electric field value is gradually decayed, to a Dingyuan
Behind place, electric field is very small.With the uniformity and reasonability of finite element analysis computation method validation terminal fitting field distribution, and
And effect is clearly.These conclusions are the size of design terminal connector, how the research of further uniform electric field distribution is established
Basis simultaneously has practical value.
Detailed description of the invention
Fig. 1 is the equivalent circuit diagram at hv cable termination of the present invention.
Fig. 2 is hv cable termination connector two-dimensional axial symmetric structural model figure of the present invention.
Fig. 3 is that arc-spline curve approaches logarithmic curve schematic diagram.
Fig. 4 is terminal fitting finite element two dimension computation model figure of the present invention.
Fig. 5 is the electric field strength Local Vector figure of terminal fitting conical line of the present invention.
Fig. 6 is the electric field strength part cloud atlas of terminal fitting conical line of the present invention.
Fig. 7 is hv cable termination connector E, EX (electric field X-component) of the present invention, EY (electric field Y-component) value along conical line
Variation diagram.
Specific embodiment
The embodiment of the present invention is described below in detail, examples of the embodiments are shown in the accompanying drawings, wherein from beginning to end
Same or similar label indicates same or similar element or element with the same or similar functions.Below with reference to attached
The embodiment of figure description is exemplary, and for explaining only the invention, and is not considered as limiting the invention.
One, hv cable termination shielded layer incision position electric field stress phenomenon analysis is carried out first:
Voltage Cable Lines Construction has a ground connection outside the region far from power cable terminal, each phase core of high-tension cable
(copper) shielded layer, forms radially-arranged electric field between conductor wire core and shielded layer.The electric field of normal cable is only led from (copper)
Line shields the phase between cable conductor without the electric field (power line) of core wire axial direction along the power line of half radial (copper) shielded layer
When in a uniform capacitor plate, field distribution is also uniform.The outer jacket and screen of certain size are peelled off in the terminal of cable
After covering layer, the original field distribution of cable is changed, electric field distortion is produced, more concentrated in shielding cut-off part power line.?
When ignoring inductance and mainly considering that capacitor and resistance act on, equivalent capacity can be reduced to by volumetric capacitance CVWith surface capacitance CS
The capacity chain of composition, insulator and insulated outer surface can regard resistance (volume resistance R asVAnd surface resistance RS) and capacitor parallel connection
Equivalent circuit, equivalent method in this way, cable termination will be at cable termination using the lumped parameter of capacitor and resistance
Recurrent circuit equally show, as shown in Figure 1.
Had according to capacitor and resistance (admittance) definition:
Then volume complex admittance are as follows:Surface complex admittance are as follows: YS=yS2πR。
In formula, rCFor conductive cable cores radius, R is the insulation outer radius of cable, ρVFor the volume resistivity of dielectric.ε0It is true
Empty dielectric constant, ε are the relative dielectric constant of medium, RSFor cable insulation unit length sheet resistance, RmIt is long for cable unit
Surrounding media resistance is spent, Κ is constant related with cable insulation surface condition.
Current potential at cable external shielding layer (ground connection) is zero.Be set as insulating surface away from origin (shielded layer edge) x at
Voltage, core are to the voltage (current potential) of metal screen layerThen it is believed that in Differential Elements dx, current potential increment isElectricity
Position change rate beOr the increment for unit length voltage, i.e. electric field strength.The electric current in dx Differential ElementsIt can be approximately considered
Definite value.IfShow that tangential field expression formula isIn formula, x indicates insulation
Distance of the layer surface away from origin (at shielded layer cut-off port), negative sign indicate that tangential electric field and x are contrary at this, and l indicates shielding
The distance of cut off extremely insulation endpoint.When x is 0, hyperbolic cotangent is maximized, and maximum field occurs to end in shielding
Point, i.e.,With the increase of insulated lengths l, EtIn the trend that is gradually reduced, but as γ l >=1.5, cth
γ l levels off to 1, increases insulated lengths at this time, has no much influences to the electric field strength of cable shield edge.
In order to improve the field distribution of cable termination, the electric field stress for reducing cable shield edge concentrates intensity, mesh
It is preceding to use a variety for the treatment of measures: 1. to apply new insulating layer on cable insulation, equivalent insulation radius can be increased;2.
The insulating surface at cable shield edge is coated with semiconductive varnish, it is possible to reduce the current potential ladder near the impedance on surface and shielded layer
Degree;3. installing bonding ring additional near shielded layer, increase radius of curvature;4. using stress cone, electric fields uniform distribution etc. is forced.
Method is 4. planted the most commonly used is the both at home and abroad, the stress tube that is mainly made with room temperature liquid silicon rubber and firm silicone rubber material and is answered
Power cone, but the product of both structural shapes is not able to satisfy long-term running reliability and stability.The present invention is high using import
Warm vulcanized liquid silicon rubber (LSR) material and semiconductive material, while the filler of high dielectric constant is added, using advanced limited
Stress cone structural shape product is analyzed, designed and made to first method, realizes reliability of operation steady in a long-term and end
Hold the optimum efficiency of sealing.
Two, the mathematical model of hv cable termination connector:
Cable termination and terminal fitting belong to axially symmetric structure, are modeled according to two-dimensional axial symmetric overall structure.It examines
Considering in high-tension line has power frequency work field strength and two class of impulse withstand voltage field strength, and when cable main insulation design need to consider two classes simultaneously
Field strength, terminal fitting stress cone design the power frequency work field strength for only needing to consider insulation.It traditionally designs and partly leads
The overall structure geomery of electric stress tapering part mainly has the increasing of stress cone axially long around thickness deltat t, the stress cone of insulating layer
Spend LkAnd stress cone conical surface shape curvilinear equation, shown in illustraton of model 2.
Wherein, ε1- cable body insulation relative dielectric constant;rc- conductor layer outer radius;R-ontology insulation outer radius;
U1- cable bears voltage, takes design voltage U according to various criterionAC;Rn- increase around insulating layer outer radius;εn——
Cable increases the relative dielectric constant around insulation;Et- tangential field;En- normal direction field strength.
According to fig. 2, since the conical surface of stress cone is connect with cable shield, current potential zero, so the stress cone conical surface is one
A equipotential surface takes up an official post in the stress cone conical surface and takes a point F, and the conical surface is equipotential surface, therefore power line is orthogonal.α was the tangent line of F point
With the angle of cut of cable radial direction, then the relationship of tangential field and normal direction field strength beCross the method for F point
To field strength EnStill can be approximate by cylindrical electric Field Calculation, then have for two layers of grade-insulated cableWhereinIt is integrated by the merging of two formulasEnable EtFor a constant, i.e., along the tangential of surface
Electric field strength is a constant, obtains conical surface logarithmic curve equation:
The geomery for calculating tag is designed by (1) (2) (3) expression formula, is calculated according to field distribution principle
Obtaining stress cone conical surface model is logarithmic curve equation (4), is existed in practical operation by the conical surface logarithmic curve of lathe forming and is processed
On difficulty, the cutter in numerically-controlled machine tool is that feed cannot be gone with the actual profile of curve, and cutter cannot strictly as requested
The curvilinear motion of processing, the numerical control device of overwhelming majority numerically-controlled machine tool only has the function of linear interpolation and circular interpolation at present,
The method of straight line and circular arc piecewise fitting is then used to carry out interpolation non-rectilinear and circular curve.This method is complicated in processing
It will lead to a series of problems, such as data volume is big, low precision, feed speed are uneven, programming is complicated when curve, necessarily to processing quality
Large effect is caused with processing cost.Many people are sought for carrying out substituting ideal conical surface song with one or more broken line
Line, but it is unable to reach the desirable and standard requirements of design.Here it infinitely approaches and substitutes using multi-section circular arc spline curve
Conical surface logarithmic curve well solves this problem, achieves ideal result.
Three, stress cone conical surface logarithmic curve is infinitely approached with arc-spline curve:
Since the numerical control device of current most numerically-controlled machine tools only has the function of linear interpolation and circular interpolation, it is desirable to
Arbitrary plane curve is processed on numerically-controlled machine tool, they must be converted into straight line or circular arc first, in certain accuracy rating
It is interior, it is approached with a series of straight lines or circular arc.When processing has the part of arbitrary plane curve on numerically-controlled machine tool, using connection
Circular approximation ratio multistage beeline approaching has following advantage: 1. all adjacent circular arcs are tangent at tie point, to become
Continuous circular arc, smooth no rib, and when with beeline approaching, occur corner angle at tie point;2. circular approximation is processed compared with beeline approaching
Program segment is few, so as to reduce procedure quantity, improves processing efficiency;3. circular approximation, slope and radius of curvature also very close to
The curve approached, and the radius of curvature of straight line is infinity, is differed greatly.Just because of above-mentioned advantage, circular approximation is arbitrarily flat
Surface curve has become in numerical control processing and must solve the problems, such as.According to most literature retrieval, plane curve portion big absolutely is processed
Divide using twin-circular arc method.Whole inflection points on curve must be first found out with this method, be set to data point.And for
Arbitrary curve in the arbitrary plane of space, inflection point exact value are difficult to obtain.Therefore, existing twin-circular arc method is for solution
Certainly the arbitrary curve approximation problem in the arbitrary plane of space has certain limitation.
Here using arc-spline curve approximatioss.First by any plane curve, according to certain step pitch
It is discrete to turn to one group of point range, this group of point range is then fitted using arc-spline curve, every two sections of circular arc public affairs point of contact is successively calculated and arrives
The bee line of virgin curve.It is if distance is greater than given error amount, then new corresponding to people one is inserted at the shortest distance on virgin curve
Data point is fitted with arc-spline curve again, then carries out Error subtraction scheme, until all circular arcs meet required precision.
It is embodied as follows: as shown in figure 3, setting by data point PiArc section be Ci, by data point Pi+1Arc section be Ci+1,
The public point of contact of two arcs is Pτ.First seek PτTo the shortest distance d of virgin curve, if | d | > δ, δ is arbitrarily small positive real number here, then will
Correspond to the point P of the shortest distance on curvedHuman-like value point sequence is inserted as new data point, is fitted again.Otherwise, detect following
Two arc section public affairs point of contacts to virgin curve distance, until whole arc sections have detected.The curve constituted in this way is on the whole
It is that single order is smooth, is segmented the multi-section circular arc of iso-curvature.So-called single order is smooth to be referred at tie point, and two adjacent circular arcs have common
Tangent line, first derivative is continuous, and second dervative exists but not necessarily continuous, and whole matched curve should keep the convex-concave of former data point
Property, and it is continuous to be known as without extra inflection point, on such curve math C'.
Four, finite element theory and implementation method:
Cable termination and terminal fitting belong to axially symmetric structure, their field distribution is also an axially symmetric field, false
Fixed axially and radially zero potential boundary definition is on the bottom cylindrical face or curved surface that diameter is terminal body diameter several times, by uniqueness
Theorem, the conductor external electric field in model area uniquely determine, and Potential distribution meets Poisson's equationDue to leading
In vitro without free charge distribution (i.e. ρ=0), Poisson's equation is reduced to Laplace's equationSolving in domain
Solve Laplace's equation.It is analyzed by static two dimensional field structure, however in practical projects, often there are many unbounded electricity
Magnetic field problem cannot be calculated directly using FInite Element, often set a current potential at separate center field domain or magnetic potential decays to
Zero Artificial Boundaries, the size of bounds value will affect the precision of calculating, and (range is bigger, and precision is lower;Range is smaller, essence
It spends higher).Here by taking 15kV high voltage cable end as an example, 15kV belongs to mesolow voltage class, according to electromagnetic field decay rule
Taking bounds value is 300mm, and by national standard, " (Um=(1+10%) U is crosslinked poly- GB/11017--2002 voltage rating U kV
The dilute insulated power cable of second and its attachment third portion ", for U kV cable, test voltageIndustrial frequency withstand voltage test
Electric UAC=4.5U0KV (15kV High-voltage Cable Design voltage UAC=54kV), tolerance time 5 minutes.According to operating experience, line taking core
Sectional area is 35mm2, cable terminal insulation layer length takes 70mm, δ to take 0.001mm, and terminal and terminal fitting contain silicon rubber (εn
=2.3), crosslinked polyethylene (ε1=2.3) and air (ε0=1.0) 3 kinds of materials, according to known relevant parameter and (1), (2),
(3) expression formula calculates to obtain correspondence parameter in table 1, establishes limited element calculation model using arc-spline curve infinite approximation
(such as Fig. 4) is calculated.
1 Model Parameter table of table
Potential distribution on the moldMeet two-dimentional Laplace's equation The boundary value problem of satisfaction such as formula
(5) shown in, voltage unit is volt, and length unit is millimeter.
According to tag model, in conjunction with the working characteristics equation of cable connector, the boundary condition of satisfaction and specific
Structural parameters, while considering the performance of material, FEM calculation is carried out to tag, obtains the tag conical surface
The electric field strength Local Vector figure and electric field strength part cloud atlas of curve.
It is seen from fig 5 that either in the straight line portion of stress cone or curved portion, it can be seen that electric field line is all hung down
Directly in the surface of stress cone, this is because the surface voltage of stress cone is all 0V, it is an equipotential plane.In electromagnetic field, etc.
Potential surface and etc. electric field lines be mutually perpendicular to, direction of an electric field by cable core be directed toward stress poppet surface.Electric field as can see from Figure 6
Distribution of the stress on conical line.
It is located on cable insulation to close at shielded layer and takes a node S and be defined as starting point, using conical line as mapping
Path, the path length of different nodal point separation start nodes is S (starting point S=0.0000mm) along the path, is obtained on the path
Electric field strength and the relationship of S such as Fig. 7 and table 2.
Table 2 takes the corresponding field value of the key node (section near shielded layer incision, minimum value and maximum value on path
Point).
S | E | EX | EY | Remarks |
0.0000 | 10171. | -57.739 | -10171. | |
1.0192 | 10433. | -103.45 | -10433. | Incision |
3.3084 | 10099 | -938.52 | -10055. | |
11.465 | 7844.2 | -3071.4 | -7217.9 | |
12.755 | 7460.2 | -3270.5 | -6705.1 | At minimum |
13.875 | 7572.2 | -3695.1 | -6609.4 | |
16.113 | 7460.2 | -3270.5 | -6705.1 | |
16.308 | 7678.0 | -3791.0 | -6676.8 | Maximum |
16.503 | 7532.5 | -7310.6 | -1814.8 |
According to Fig. 7 and table 2 as can be seen that tag electric field maximum 10433V/mm is in metal screen layer notch
Near place, boring internal maximum field intensity 7678V/mm, (maximum of conventional design silicon rubber outer surface is tangential much smaller than 25kV/mm
Electric field strength controlling value), (conventional design controls much smaller than 25kV/mm by silicon rubber and crosslinked polyethylene interface field strength 10433V/mm
Value), the tangential electric field strength of the maximum of silicon rubber outer surface is less than 22kV/mm, is much smaller than silastic surface flashover electric field strength, says
The scheme of bright design is reasonable, feasible.Generally speaking, cable termination stress cone improves point of electric field at cable termination
Cloth keeps electric field more uniform, local maximum does not occur, avoids the generation of the sliding elephant that flashes, and then reduces the production of accident
It is raw, being uniformly distributed for electric field at cable termination is optimized, technical indicator is realized and far more than the target in table 3.It is tied from emulation
Fruit and theory analysis are compared, and can also continue to the value (δ takes smaller value such as 0.0005mm etc.) of adjustment (reduction) δ, then
Logarithmic curve is approached using arc-spline curve infinite approximation, limited element calculation model is established and is calculated, makes point of electric field
Cloth progressivelyes reach ideal standard requirements.
3 test data of table with and technical standard:
Claims (2)
1. a kind of research method of hv cable termination connector: being approached by using multi-section circular arc spline curve and substitute the conical surface pair
Number curve is established electric field limited element calculation model and is calculated, it is characterised in that the following steps are included:
S1) according to hv cable termination connector two-dimensional axial symmetric overall structure, the overall structure of semiconductive stress cone component is designed
Geomery, thickness deltat t of the increasing including stress cone around insulating layer, stress cone axial length Lk, stress cone conical surface pattern curve
Equation;
S2 stress cone conical surface pattern curve) is replaced using arc-spline curve approximatioss: by plane curve according to certain step pitch
It is discrete to turn to one group of point range, this group of point range is then fitted using arc-spline curve, every two sections of circular arc public affairs point of contact is successively calculated and arrives
The bee line d of virgin curve executes step S3 if d is greater than given error amount δ), if d is less than or equal to given error amount
δ executes step S4);
S3 it) is fitted again with arc-spline curve on virgin curve corresponding to a new data point is inserted at the shortest distance, returns to step
Rapid S2);
S4) according to electric field distribution law and relevant criterion, model parameter table is acquired, stress cone finite element two dimension is established and calculates mould
Type executes step S5);
S5) according to tag model, in conjunction with the working characteristics equation of cable connector, the boundary condition of satisfaction and specific knot
Structure parameter carries out FEM calculation to tag, and the electric field strength for obtaining tag conical line is locally sweared
Spirogram and electric field strength part cloud atlas, close at shielded layer on cable insulation and take a node and be defined as starting point, with the conical surface
Curve is as mapping path, and the path length of different nodal point separation start nodes is S along the path, obtains electric-field strength on the path
The relationship graph of degree and S verifies the uniformity and reasonability of terminal fitting field distribution by relationship graph.
2. the research method of hv cable termination connector according to claim 1, it is characterised in that: δ be it is arbitrarily small just
Real number value and δ≤0.001mm.
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CN106934152A (en) * | 2017-03-13 | 2017-07-07 | 顺德职业技术学院 | The modeling method of many stress interface accessory devices of high-tension cable |
CN107272596A (en) * | 2017-08-07 | 2017-10-20 | 广东鼎泰高科精工科技有限公司 | A kind of processing method of forming cutter contour line |
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CN107769148B (en) * | 2017-11-24 | 2019-12-06 | 广东电网有限责任公司珠海供电局 | design method of high-voltage alternating-current cable intermediate joint stress cone |
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